4.534 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.012 * [progress]: [Phase 2 of 3] Improving. 0.012 * [simplify]: Simplifying using # : (sqrt (* (* 2.0 x) x)) 0.014 * * [simplify]: iteration 0 : 9 enodes (cost 3 ) 0.015 * * [simplify]: iteration 1 : 10 enodes (cost 3 ) 0.016 * * [simplify]: iteration 2 : 10 enodes (cost 3 ) 0.016 * [simplify]: Simplified to: (sqrt (* (* 2.0 x) x)) 0.016 * * [progress]: iteration 1 / 4 0.016 * * * [progress]: picking best candidate 0.018 * * * * [pick]: Picked # 0.018 * * * [progress]: localizing error 0.022 * * * [progress]: generating rewritten candidates 0.022 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.026 * * * [progress]: generating series expansions 0.026 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.027 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) x) in (x) around 0 0.027 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) x) in x 0.027 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.027 * [taylor]: Taking taylor expansion of 2.0 in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.027 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) x) in x 0.027 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.027 * [taylor]: Taking taylor expansion of 2.0 in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.028 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0 0.028 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.028 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.028 * [taylor]: Taking taylor expansion of 2.0 in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.028 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.028 * [taylor]: Taking taylor expansion of 2.0 in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.029 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0 0.029 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.029 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.029 * [taylor]: Taking taylor expansion of 2.0 in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.029 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.029 * [taylor]: Taking taylor expansion of 2.0 in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.030 * * * [progress]: simplifying candidates 0.031 * [simplify]: Simplifying using # : (log (sqrt (* (* 2.0 x) x))) (exp (sqrt (* (* 2.0 x) x))) (* (cbrt (sqrt (* (* 2.0 x) x))) (cbrt (sqrt (* (* 2.0 x) x)))) (cbrt (sqrt (* (* 2.0 x) x))) (* (* (sqrt (* (* 2.0 x) x)) (sqrt (* (* 2.0 x) x))) (sqrt (* (* 2.0 x) x))) (sqrt (* 2.0 x)) (sqrt x) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x))) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* -1 (* (sqrt 2.0) x)) 0.033 * * [simplify]: iteration 0 : 33 enodes (cost 45 ) 0.034 * * [simplify]: iteration 1 : 60 enodes (cost 43 ) 0.035 * * [simplify]: iteration 2 : 86 enodes (cost 43 ) 0.037 * * [simplify]: iteration 3 : 100 enodes (cost 43 ) 0.039 * * [simplify]: iteration 4 : 119 enodes (cost 43 ) 0.041 * * [simplify]: iteration 5 : 173 enodes (cost 43 ) 0.046 * * [simplify]: iteration 6 : 600 enodes (cost 43 ) 0.062 * * [simplify]: iteration 7 : 1831 enodes (cost 43 ) 0.131 * * [simplify]: iteration 8 : 5001 enodes (cost 43 ) 0.132 * [simplify]: Simplified to: (log (sqrt (* (* 2.0 x) x))) (exp (sqrt (* (* 2.0 x) x))) (* (cbrt (sqrt (* (* 2.0 x) x))) (cbrt (sqrt (* (* 2.0 x) x)))) (cbrt (sqrt (* (* 2.0 x) x))) (pow (sqrt (* (* 2.0 x) x)) 3) (sqrt (* 2.0 x)) (sqrt x) 1/2 1/2 1/2 (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x))) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* -1 (* (sqrt 2.0) x)) 0.133 * * * [progress]: adding candidates to table 0.174 * * [progress]: iteration 2 / 4 0.174 * * * [progress]: picking best candidate 0.185 * * * * [pick]: Picked # 0.185 * * * [progress]: localizing error 0.188 * * * [progress]: generating rewritten candidates 0.188 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.194 * * * [progress]: generating series expansions 0.194 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.194 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) x) in (x) around 0 0.194 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) x) in x 0.194 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.194 * [taylor]: Taking taylor expansion of 2.0 in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) x) in x 0.194 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.194 * [taylor]: Taking taylor expansion of 2.0 in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.195 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0 0.195 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.195 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.195 * [taylor]: Taking taylor expansion of 2.0 in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.195 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.195 * [taylor]: Taking taylor expansion of 2.0 in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.196 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) x)) in (x) around 0 0.196 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) x)) in x 0.196 * [taylor]: Taking taylor expansion of -1 in x 0.196 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.196 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.196 * [taylor]: Taking taylor expansion of 2.0 in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) x)) in x 0.196 * [taylor]: Taking taylor expansion of -1 in x 0.196 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.196 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.196 * [taylor]: Taking taylor expansion of 2.0 in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.198 * * * [progress]: simplifying candidates 0.198 * [simplify]: Simplifying using # : (* (sqrt 2.0) x) (+ (log (sqrt 2.0)) (log x)) (log (* (sqrt 2.0) x)) (exp (* (sqrt 2.0) x)) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* x x) x)) (* (cbrt (* (sqrt 2.0) x)) (cbrt (* (sqrt 2.0) x))) (cbrt (* (sqrt 2.0) x)) (* (* (* (sqrt 2.0) x) (* (sqrt 2.0) x)) (* (sqrt 2.0) x)) (sqrt (* (sqrt 2.0) x)) (sqrt (* (sqrt 2.0) x)) (* (sqrt (sqrt 2.0)) (sqrt x)) (* (sqrt (sqrt 2.0)) (sqrt x)) (* (sqrt (sqrt 2.0)) (sqrt x)) (* (sqrt (sqrt 2.0)) (sqrt x)) (* (sqrt 2.0) (* (cbrt x) (cbrt x))) (* (sqrt 2.0) (sqrt x)) (* (sqrt 2.0) 1) (* (cbrt (sqrt 2.0)) x) (* (sqrt (cbrt 2.0)) x) (* (sqrt (sqrt 2.0)) x) (* (sqrt 2.0) x) (* (sqrt (sqrt 2.0)) x) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* (sqrt 2.0) x) 0.200 * * [simplify]: iteration 0 : 64 enodes (cost 84 ) 0.202 * * [simplify]: iteration 1 : 224 enodes (cost 80 ) 0.206 * * [simplify]: iteration 2 : 521 enodes (cost 80 ) 0.212 * * [simplify]: iteration 3 : 809 enodes (cost 80 ) 0.222 * * [simplify]: iteration 4 : 1933 enodes (cost 80 ) 0.254 * * [simplify]: iteration 5 : 5001 enodes (cost 80 ) 0.255 * [simplify]: Simplified to: (* (sqrt 2.0) x) (log (* (sqrt 2.0) x)) (log (* (sqrt 2.0) x)) (exp (* (sqrt 2.0) x)) (pow (* (sqrt 2.0) x) 3) (* (cbrt (* (sqrt 2.0) x)) (cbrt (* (sqrt 2.0) x))) (cbrt (* (sqrt 2.0) x)) (pow (* (sqrt 2.0) x) 3) (sqrt (* (sqrt 2.0) x)) (sqrt (* (sqrt 2.0) x)) (* (sqrt (sqrt 2.0)) (sqrt x)) (* (sqrt (sqrt 2.0)) (sqrt x)) (* (sqrt (sqrt 2.0)) (sqrt x)) (* (sqrt (sqrt 2.0)) (sqrt x)) (* (sqrt 2.0) (* (cbrt x) (cbrt x))) (* (sqrt 2.0) (sqrt x)) (sqrt 2.0) (* (cbrt (sqrt 2.0)) x) (* (sqrt (cbrt 2.0)) x) (* (sqrt (sqrt 2.0)) x) (* (sqrt 2.0) x) (* (sqrt (sqrt 2.0)) x) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* (sqrt 2.0) x) 0.255 * * * [progress]: adding candidates to table 0.282 * * [progress]: iteration 3 / 4 0.282 * * * [progress]: picking best candidate 0.298 * * * * [pick]: Picked # 0.298 * * * [progress]: localizing error 0.304 * * * [progress]: generating rewritten candidates 0.305 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.315 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.321 * * * [progress]: generating series expansions 0.321 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.322 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) x) in (x) around 0 0.322 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) x) in x 0.322 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.322 * [taylor]: Taking taylor expansion of 2.0 in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) x) in x 0.322 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.322 * [taylor]: Taking taylor expansion of 2.0 in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.323 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0 0.323 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.323 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.323 * [taylor]: Taking taylor expansion of 2.0 in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.323 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.323 * [taylor]: Taking taylor expansion of 2.0 in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.324 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) x)) in (x) around 0 0.324 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) x)) in x 0.324 * [taylor]: Taking taylor expansion of -1 in x 0.324 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.324 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.324 * [taylor]: Taking taylor expansion of 2.0 in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) x)) in x 0.324 * [taylor]: Taking taylor expansion of -1 in x 0.324 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.324 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.324 * [taylor]: Taking taylor expansion of 2.0 in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.326 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.326 * [approximate]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) x) in (x) around 0 0.326 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) x) in x 0.326 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in x 0.326 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in x 0.326 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in x 0.326 * [taylor]: Taking taylor expansion of 1/3 in x 0.326 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in x 0.326 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.326 * [taylor]: Taking taylor expansion of 2.0 in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) x) in x 0.326 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in x 0.326 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in x 0.326 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in x 0.326 * [taylor]: Taking taylor expansion of 1/3 in x 0.326 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in x 0.326 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.326 * [taylor]: Taking taylor expansion of 2.0 in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.336 * [approximate]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (/ 1 x)) in (x) around 0 0.336 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (/ 1 x)) in x 0.336 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in x 0.336 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in x 0.336 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in x 0.336 * [taylor]: Taking taylor expansion of 1/3 in x 0.336 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in x 0.336 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.337 * [taylor]: Taking taylor expansion of 2.0 in x 0.337 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.337 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (/ 1 x)) in x 0.337 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in x 0.337 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in x 0.337 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in x 0.337 * [taylor]: Taking taylor expansion of 1/3 in x 0.337 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in x 0.337 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.337 * [taylor]: Taking taylor expansion of 2.0 in x 0.337 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.344 * [approximate]: Taking taylor expansion of (* -1 (* (pow (sqrt 2.0) 1/3) (/ 1 x))) in (x) around 0 0.344 * [taylor]: Taking taylor expansion of (* -1 (* (pow (sqrt 2.0) 1/3) (/ 1 x))) in x 0.344 * [taylor]: Taking taylor expansion of -1 in x 0.344 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (/ 1 x)) in x 0.344 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in x 0.344 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in x 0.344 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in x 0.344 * [taylor]: Taking taylor expansion of 1/3 in x 0.344 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in x 0.344 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.344 * [taylor]: Taking taylor expansion of 2.0 in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of (* -1 (* (pow (sqrt 2.0) 1/3) (/ 1 x))) in x 0.345 * [taylor]: Taking taylor expansion of -1 in x 0.345 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (/ 1 x)) in x 0.345 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in x 0.345 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in x 0.345 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in x 0.345 * [taylor]: Taking taylor expansion of 1/3 in x 0.345 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in x 0.345 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.345 * [taylor]: Taking taylor expansion of 2.0 in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.352 * * * [progress]: simplifying candidates 0.353 * [simplify]: Simplifying using # : (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x)) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x)) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x)) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x)) (+ (+ (log (cbrt (sqrt 2.0))) (log (cbrt (sqrt 2.0)))) (+ (log (cbrt (sqrt 2.0))) (log x))) (+ (+ (log (cbrt (sqrt 2.0))) (log (cbrt (sqrt 2.0)))) (log (* (cbrt (sqrt 2.0)) x))) (+ (log (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (+ (log (cbrt (sqrt 2.0))) (log x))) (+ (log (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (log (* (cbrt (sqrt 2.0)) x))) (log (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x))) (exp (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x))) (* (* (sqrt 2.0) (sqrt 2.0)) (* (sqrt 2.0) (* (* x x) x))) (* (* (sqrt 2.0) (sqrt 2.0)) (* (* (* (cbrt (sqrt 2.0)) x) (* (cbrt (sqrt 2.0)) x)) (* (cbrt (sqrt 2.0)) x))) (* (* (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (sqrt 2.0) (* (* x x) x))) (* (* (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (* (* (cbrt (sqrt 2.0)) x) (* (cbrt (sqrt 2.0)) x)) (* (cbrt (sqrt 2.0)) x))) (* (cbrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x))) (cbrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x)))) (cbrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x))) (* (* (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x)) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x))) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x))) (sqrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x))) (sqrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x))) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (* (cbrt (sqrt 2.0)) x)) (* (cbrt (sqrt 2.0)) x) (+ (log (cbrt (sqrt 2.0))) (log x)) (log (* (cbrt (sqrt 2.0)) x)) (exp (* (cbrt (sqrt 2.0)) x)) (* (sqrt 2.0) (* (* x x) x)) (* (cbrt (* (cbrt (sqrt 2.0)) x)) (cbrt (* (cbrt (sqrt 2.0)) x))) (cbrt (* (cbrt (sqrt 2.0)) x)) (* (* (* (cbrt (sqrt 2.0)) x) (* (cbrt (sqrt 2.0)) x)) (* (cbrt (sqrt 2.0)) x)) (sqrt (* (cbrt (sqrt 2.0)) x)) (sqrt (* (cbrt (sqrt 2.0)) x)) (* (cbrt (sqrt (sqrt 2.0))) (sqrt x)) (* (cbrt (sqrt (sqrt 2.0))) (sqrt x)) (* (cbrt (sqrt (sqrt 2.0))) (sqrt x)) (* (cbrt (sqrt (sqrt 2.0))) (sqrt x)) (* (sqrt (cbrt (sqrt 2.0))) (sqrt x)) (* (sqrt (cbrt (sqrt 2.0))) (sqrt x)) (* (cbrt (sqrt 2.0)) (* (cbrt x) (cbrt x))) (* (cbrt (sqrt 2.0)) (sqrt x)) (* (cbrt (sqrt 2.0)) 1) (* (cbrt (cbrt (sqrt 2.0))) x) (* (cbrt (sqrt (cbrt 2.0))) x) (* (cbrt (sqrt (sqrt 2.0))) x) (* (cbrt (sqrt 2.0)) x) (* (cbrt (sqrt (sqrt 2.0))) x) (* (cbrt (sqrt 2.0)) x) (* (cbrt (cbrt (sqrt 2.0))) x) (* (sqrt (cbrt (sqrt 2.0))) x) (* (cbrt (sqrt 2.0)) x) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* (pow (sqrt 2.0) 1/3) x) (* (pow (sqrt 2.0) 1/3) x) (* (pow (sqrt 2.0) 1/3) x) 0.356 * * [simplify]: iteration 0 : 155 enodes (cost 394 ) 0.360 * * [simplify]: iteration 1 : 670 enodes (cost 289 ) 0.379 * * [simplify]: iteration 2 : 4049 enodes (cost 252 ) 0.475 * * [simplify]: iteration 3 : 5002 enodes (cost 240 ) 0.477 * [simplify]: Simplified to: (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (+ (log (sqrt 2.0)) (log x)) (+ (log (sqrt 2.0)) (log x)) (+ (log (sqrt 2.0)) (log x)) (+ (log (sqrt 2.0)) (log x)) (+ (log (sqrt 2.0)) (log x)) (pow (exp x) (sqrt 2.0)) (* (* 2.0 (pow x 3)) (sqrt 2.0)) (* (* 2.0 (pow x 3)) (sqrt 2.0)) (* (* 2.0 (pow x 3)) (sqrt 2.0)) (* (* 2.0 (pow x 3)) (sqrt 2.0)) (* (cbrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x))) (cbrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x)))) (cbrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x))) (* (* 2.0 (pow x 3)) (sqrt 2.0)) (sqrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x))) (sqrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x))) (sqrt 2.0) (* x (pow (sqrt 2.0) 2/3)) (* (pow (sqrt 2.0) 1/3) x) (log (* (cbrt (sqrt 2.0)) x)) (log (* (cbrt (sqrt 2.0)) x)) (exp (* (cbrt (sqrt 2.0)) x)) (pow (* (pow (sqrt 2.0) 1/3) x) 3) (* (cbrt (* (cbrt (sqrt 2.0)) x)) (cbrt (* (cbrt (sqrt 2.0)) x))) (cbrt (* (cbrt (sqrt 2.0)) x)) (pow (* (pow (sqrt 2.0) 1/3) x) 3) (sqrt (* (cbrt (sqrt 2.0)) x)) (sqrt (* (cbrt (sqrt 2.0)) x)) (* (cbrt (sqrt (sqrt 2.0))) (sqrt x)) (* (cbrt (sqrt (sqrt 2.0))) (sqrt x)) (* (cbrt (sqrt (sqrt 2.0))) (sqrt x)) (* (cbrt (sqrt (sqrt 2.0))) (sqrt x)) (* (sqrt (cbrt (sqrt 2.0))) (sqrt x)) (* (sqrt (cbrt (sqrt 2.0))) (sqrt x)) (* (cbrt (sqrt 2.0)) (* (cbrt x) (cbrt x))) (* (cbrt (sqrt 2.0)) (sqrt x)) (pow (sqrt 2.0) 1/3) (* (cbrt (cbrt (sqrt 2.0))) x) (* (cbrt (sqrt (cbrt 2.0))) x) (* (cbrt (sqrt (sqrt 2.0))) x) (* (pow (sqrt 2.0) 1/3) x) (* (cbrt (sqrt (sqrt 2.0))) x) (* (pow (sqrt 2.0) 1/3) x) (* (cbrt (cbrt (sqrt 2.0))) x) (* (sqrt (cbrt (sqrt 2.0))) x) (* (pow (sqrt 2.0) 1/3) x) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* (pow (sqrt 2.0) 1/3) x) (* (pow (sqrt 2.0) 1/3) x) (* (pow (sqrt 2.0) 1/3) x) 0.477 * * * [progress]: adding candidates to table 0.564 * * [progress]: iteration 4 / 4 0.564 * * * [progress]: picking best candidate 0.576 * * * * [pick]: Picked # 0.576 * * * [progress]: localizing error 0.581 * * * [progress]: generating rewritten candidates 0.581 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.589 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.596 * * * [progress]: generating series expansions 0.596 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.596 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) x) in (x) around 0 0.596 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) x) in x 0.596 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.596 * [taylor]: Taking taylor expansion of 2.0 in x 0.596 * [taylor]: Taking taylor expansion of x in x 0.596 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) x) in x 0.596 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.596 * [taylor]: Taking taylor expansion of 2.0 in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.598 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0 0.598 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.598 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.598 * [taylor]: Taking taylor expansion of 2.0 in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.598 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.598 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.598 * [taylor]: Taking taylor expansion of 2.0 in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.599 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) x)) in (x) around 0 0.599 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) x)) in x 0.599 * [taylor]: Taking taylor expansion of -1 in x 0.599 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.599 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.599 * [taylor]: Taking taylor expansion of 2.0 in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.599 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) x)) in x 0.599 * [taylor]: Taking taylor expansion of -1 in x 0.599 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.599 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.599 * [taylor]: Taking taylor expansion of 2.0 in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.600 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.600 * [approximate]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) x) in (x) around 0 0.600 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) x) in x 0.600 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in x 0.600 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.600 * [taylor]: Taking taylor expansion of 2.0 in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.600 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) x) in x 0.600 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in x 0.601 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.601 * [taylor]: Taking taylor expansion of 2.0 in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.602 * [approximate]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ 1 x)) in (x) around 0 0.602 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ 1 x)) in x 0.602 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in x 0.602 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.602 * [taylor]: Taking taylor expansion of 2.0 in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ 1 x)) in x 0.602 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in x 0.602 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.602 * [taylor]: Taking taylor expansion of 2.0 in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.604 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (sqrt 2.0)) (/ 1 x))) in (x) around 0 0.604 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (sqrt 2.0)) (/ 1 x))) in x 0.604 * [taylor]: Taking taylor expansion of -1 in x 0.604 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ 1 x)) in x 0.604 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in x 0.604 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.604 * [taylor]: Taking taylor expansion of 2.0 in x 0.604 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.604 * [taylor]: Taking taylor expansion of x in x 0.604 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (sqrt 2.0)) (/ 1 x))) in x 0.604 * [taylor]: Taking taylor expansion of -1 in x 0.604 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ 1 x)) in x 0.604 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in x 0.604 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.604 * [taylor]: Taking taylor expansion of 2.0 in x 0.604 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.604 * [taylor]: Taking taylor expansion of x in x 0.606 * * * [progress]: simplifying candidates 0.607 * [simplify]: Simplifying using # : (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) x)) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) x)) (+ (log (sqrt (sqrt 2.0))) (+ (log (sqrt (sqrt 2.0))) (log x))) (+ (log (sqrt (sqrt 2.0))) (log (* (sqrt (sqrt 2.0)) x))) (log (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) x))) (exp (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) x))) (* (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* x x) x))) (* (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (* (sqrt (sqrt 2.0)) x) (* (sqrt (sqrt 2.0)) x)) (* (sqrt (sqrt 2.0)) x))) (* (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) x))) (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) x)))) (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) x))) (* (* (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) x)) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) x))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) x))) (sqrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) x))) (sqrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) x))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (* (cbrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) x)) (* (sqrt (cbrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) x)) (* (sqrt (sqrt (cbrt 2.0))) (* (sqrt (sqrt 2.0)) x)) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) x)) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) x)) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) x)) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) x)) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) x)) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) x)) (* (sqrt (sqrt 2.0)) x) (+ (log (sqrt (sqrt 2.0))) (log x)) (log (* (sqrt (sqrt 2.0)) x)) (exp (* (sqrt (sqrt 2.0)) x)) (* (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* x x) x)) (* (cbrt (* (sqrt (sqrt 2.0)) x)) (cbrt (* (sqrt (sqrt 2.0)) x))) (cbrt (* (sqrt (sqrt 2.0)) x)) (* (* (* (sqrt (sqrt 2.0)) x) (* (sqrt (sqrt 2.0)) x)) (* (sqrt (sqrt 2.0)) x)) (sqrt (* (sqrt (sqrt 2.0)) x)) (sqrt (* (sqrt (sqrt 2.0)) x)) (* (sqrt (sqrt (sqrt 2.0))) (sqrt x)) (* (sqrt (sqrt (sqrt 2.0))) (sqrt x)) (* (sqrt (sqrt (sqrt 2.0))) (sqrt x)) (* (sqrt (sqrt (sqrt 2.0))) (sqrt x)) (* (sqrt (sqrt (sqrt 2.0))) (sqrt x)) (* (sqrt (sqrt (sqrt 2.0))) (sqrt x)) (* (sqrt (sqrt 2.0)) (* (cbrt x) (cbrt x))) (* (sqrt (sqrt 2.0)) (sqrt x)) (* (sqrt (sqrt 2.0)) 1) (* (cbrt (sqrt (sqrt 2.0))) x) (* (sqrt (cbrt (sqrt 2.0))) x) (* (sqrt (sqrt (cbrt 2.0))) x) (* (sqrt (sqrt (sqrt 2.0))) x) (* (sqrt (sqrt 2.0)) x) (* (sqrt (sqrt (sqrt 2.0))) x) (* (sqrt (sqrt 2.0)) x) (* (sqrt (sqrt (sqrt 2.0))) x) (* (sqrt (sqrt 2.0)) x) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* (sqrt (sqrt 2.0)) x) (* (sqrt (sqrt 2.0)) x) (* (sqrt (sqrt 2.0)) x) 0.610 * * [simplify]: iteration 0 : 124 enodes (cost 289 ) 0.612 * * [simplify]: iteration 1 : 514 enodes (cost 247 ) 0.622 * * [simplify]: iteration 2 : 1459 enodes (cost 247 ) 0.640 * * [simplify]: iteration 3 : 2280 enodes (cost 247 ) 0.668 * * [simplify]: iteration 4 : 5001 enodes (cost 247 ) 0.670 * [simplify]: Simplified to: (* (sqrt 2.0) x) (* (sqrt 2.0) x) (+ (log (sqrt 2.0)) (log x)) (+ (log (sqrt 2.0)) (log x)) (+ (log (sqrt 2.0)) (log x)) (pow (exp (sqrt 2.0)) x) (pow (* (sqrt 2.0) x) 3) (pow (* (sqrt 2.0) x) 3) (* (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) x))) (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) x)))) (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) x))) (pow (* (sqrt 2.0) x) 3) (sqrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) x))) (sqrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) x))) (sqrt 2.0) (* (cbrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) x)) (* (sqrt (cbrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) x)) (* (sqrt (sqrt (cbrt 2.0))) (* (sqrt (sqrt 2.0)) x)) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) x)) (* (sqrt 2.0) x) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) x)) (* (sqrt 2.0) x) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) x)) (* (sqrt 2.0) x) (* (sqrt (sqrt 2.0)) x) (log (* (sqrt (sqrt 2.0)) x)) (log (* (sqrt (sqrt 2.0)) x)) (exp (* (sqrt (sqrt 2.0)) x)) (pow (* (sqrt (sqrt 2.0)) x) 3) (* (cbrt (* (sqrt (sqrt 2.0)) x)) (cbrt (* (sqrt (sqrt 2.0)) x))) (cbrt (* (sqrt (sqrt 2.0)) x)) (pow (* (sqrt (sqrt 2.0)) x) 3) (sqrt (* (sqrt (sqrt 2.0)) x)) (sqrt (* (sqrt (sqrt 2.0)) x)) (* (sqrt (sqrt (sqrt 2.0))) (sqrt x)) (* (sqrt (sqrt (sqrt 2.0))) (sqrt x)) (* (sqrt (sqrt (sqrt 2.0))) (sqrt x)) (* (sqrt (sqrt (sqrt 2.0))) (sqrt x)) (* (sqrt (sqrt (sqrt 2.0))) (sqrt x)) (* (sqrt (sqrt (sqrt 2.0))) (sqrt x)) (* (sqrt (sqrt 2.0)) (* (cbrt x) (cbrt x))) (* (sqrt (sqrt 2.0)) (sqrt x)) (sqrt (sqrt 2.0)) (* (cbrt (sqrt (sqrt 2.0))) x) (* (sqrt (cbrt (sqrt 2.0))) x) (* (sqrt (sqrt (cbrt 2.0))) x) (* (sqrt (sqrt (sqrt 2.0))) x) (* (sqrt (sqrt 2.0)) x) (* (sqrt (sqrt (sqrt 2.0))) x) (* (sqrt (sqrt 2.0)) x) (* (sqrt (sqrt (sqrt 2.0))) x) (* (sqrt (sqrt 2.0)) x) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* (sqrt (sqrt 2.0)) x) (* (sqrt (sqrt 2.0)) x) (* (sqrt (sqrt 2.0)) x) 0.670 * * * [progress]: adding candidates to table 0.745 * [progress]: [Phase 3 of 3] Extracting. 0.745 * * [regime]: Finding splitpoints for: (# # # # # # #) 0.746 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 x) x) (sqrt (* (* 2.0 x) x)) x) 0.746 * * * * [regimes]: Trying to branch on (* (* 2.0 x) x) from (# # # # # # #) 0.791 * * * * [regimes]: Trying to branch on (* (* 2.0 x) x) from (# #) 0.813 * * * * [regimes]: Trying to branch on (sqrt (* (* 2.0 x) x)) from (# # # # # # #) 0.862 * * * * [regimes]: Trying to branch on (sqrt (* (* 2.0 x) x)) from (# #) 0.889 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 0.933 * * * [regime]: Found split indices: #